双对称矩阵广义特征值反问题的解  

Solutions of Inverse Generalized Eigenvalue Problems for Bisymmetric Matrices

作　　者：吴筑筑[1] 

机构地区：[1]韶关学院计算机系,广东韶关512005

出　　处：《韶关学院学报》2001年第9期1-5,共5页Journal of Shaoguan University

摘　　要：已知矩阵X及对角阵∧ ,讨论双对称矩阵广义特征值反问题AX =BX∧的解 (A ,B) .给出B为非负定时的通解 .在一定条件下给出解集合中满足XTBX =I的一般解 .给出一个数值算例 .Given matrix X and diagonal matrix ∧ , the bisymmetric solutions(A,B) of inverse generalized eigenvalue problem AX=BX∧ have been considered. The general solutions with nonnegative definite matrix B are obtained. The general forms of the solutions subject to X TBX=I are provided with some conditions. A numerical example is presented.

关 键 词：双对称矩阵 非负定矩阵 特征值 矩阵方程 

分 类 号：O241.6[理学—计算数学]